2-D wold decomposition: new parameter estimation approach to evanescent field spectral supports

In the context of parametric model-based methods for image processing, this paper deals with image modeling, when the image is considered as a two-dimensional (2-D) random process. The model we are searching on is based on the 2-D Wold-type decomposition. The core of the contribution of this paper is to provide with a new estimation algorithm of the so called "evanescent field" in the 2-D Wold decomposition framework. This new method is based on a projection approach and requires a set of projection directions which is obtained by using Farey's series. The algorithm performances are illustrated and investigated using Monte Carlo simulations.